GCD of 350, 182, 784 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 350, 182, 784 quickly. Get the easiest ways to solve the greatest common divisor of 350, 182, 784 i.e 14 in different methods as follows.
Given Input numbers are 350, 182, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (350, 182, 784) = 14.
Given numbers are 350, 182, 784
The list of prime factors of all numbers are
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 182 are 2 x 7 x 13
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 350, 182, 784 is 14.
Steps to Calculate GCD of 350, 182, 784 using LCM Formula
Given numbers are 350, 182, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(350, 182) = 4550
GCD(350, 182) = ( 350 x 182 ) / 4550
= 350 / 182
= 350
Step2:
LCM(14, 784) = 784
GCD(14, 784) = ( 14 x 784 ) / 784
= 14 / 784
= 14
So, Greatest Common Divisor of 350, 182, 784 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 350, 182, 784
Given numbers are 350, 182, 784
The greatest common divisor of numbers 350, 182, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 182, 784 is 14.
FAQs on GCD of 350, 182, 784 Calculator
1. What is the GCD of 350, 182, 784?
GCD of given numbers 350, 182, 784 is 14
2. How to calculate the greatest common divisor of 350, 182, 784?
We can find the highest common divisor of 350, 182, 784 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 350, 182, 784 i.e 14.
3. How can I use the GCD of 350, 182, 784Calculator?
Out the numbers 350, 182, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.